An article was sold for ₹ 4,000. Had a discount of 10% was being offered, the profit would have been 20%. The cost price of the article was:
- A₹ 3,200
- B₹ 3,310
- C₹ 3,000
- D₹ 3,600
Solution & Step-by-step Explanation
Let the Marked Price of the article be MP and Cost Price be CP.
The article was sold for ₹ 4,000 (with no discount originally mentioned contextually, representing the list/marked price MP=₹ 4,000).
If a discount of 10% is offered on the marked price, the new selling price (SP) becomes:
SP=90% of MP=
100
90
×4000=₹ 3600
At this selling price, the profit is 20%.
SP=CP×(1+
100
Profit%
)
3600=CP×(1+
100
20
)
3600=CP×
100
120
CP=
120
3600×100
=30×100=₹ 3000
The article was sold for ₹ 4,000 (with no discount originally mentioned contextually, representing the list/marked price MP=₹ 4,000).
If a discount of 10% is offered on the marked price, the new selling price (SP) becomes:
SP=90% of MP=
100
90
×4000=₹ 3600
At this selling price, the profit is 20%.
SP=CP×(1+
100
Profit%
)
3600=CP×(1+
100
20
)
3600=CP×
100
120
CP=
120
3600×100
=30×100=₹ 3000